If a Square-Transformation Is Applied to a Series of Positive

question 21

True/False

If a square-transformation is applied to a series of positive numbers, all greater than 1, the numerical values of the numbers in the transformed series will be smaller than the corresponding numbers in the original series.

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Definitions:

Null Hypothesis

The default hypothesis that there is no significant difference or relationship between specified populations, any observed difference being due to sampling or experimental error.

Directional Alternative

A hypothesis that outlines the anticipated direction in the variation or association among variables.

T-statistic

A T-statistic is used in statistical testing to determine the significance of the difference between the means of two groups relative to the spread or variability of their scores.

Means

Statistical measures that represent the average value in a set of numbers, calculated by dividing the sum of all numbers by the count of numbers.